Let A = 8 0 0 00 -00 8 0 0 - 100 PR 32 8 - 16 and v= + C Define T: R³ R³ by T(x) = Ax. Find T(u) and T(v). C1 d
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We are given that
T : R3 → R3 such that
T(x) = Ax
So, T(u) = Au
|– 1/8 0 0 –| |– 32 –|
= | 0 1/8 0 | | 8 |
|_ 0 0 1/8 _| |_ -16 _|
|– 4 –|
= | 1 |
|_ -2 _| [Ans]
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